Suppose that the following mathematical program is given:

Min Z=3*x²+4*y²
subject to
2*x+y≥ 8
x+2*y≤ 12
x,y≥ 0

Which of the following are true? (Assume any numerical values are rounded to 2 decimal places.)
O This problem is infeasible.
O The optimal solution occurs at the boundary of the feasible region.
O The optimal solution value is 4.00.
O The optimal solution, (x, y), occurs at (x, y) = (1.00, 2.00).
O Exactly two of the answers are correct.
O None of the answers are correct.